Embibe Experts Solutions for Chapter: Alternating Current, Exercise 1: KEAM 2020

A pure inductor of inductance $0.1 \mathrm{H}$ is connected to an AC source (of rms voltage) $220 \mathrm{V}$ angular frequency of $300 \mathrm{Hz}.$ The rms current is

Choose the wrong statement for the pure inductive circuit.

A voltage ${\mathrm{V}}_{\mathrm{PQ}}={\mathrm{V}}_0\cos \left(\mathrm{\omega t}\right)$ (where, ${\mathrm{V}}_0$ is a real amplitude) is applied between the points $\mathrm{P}$ and $\mathrm{Q}$ in the network shown in the figure. The values of capacitance and inductance are $\mathrm{C}=\frac{1}{\text{ω}\mathrm{R}\sqrt{3}}$ and $\mathrm{L}=\frac{\mathrm{R}\sqrt{3}}{\mathrm{\omega }}$. Then, the total impedance between $\mathrm{P}$ and $\mathrm{Q}$ is

In an $LCR$ series circuit (of inductance $L,$ capacitance $C$ and resistance $R),$ the impedance is minimum when the angular frequency of the source is given by

The $Q$ factor for a damped oscillator is given by the

An alternating voltage $V=V_0\sin \omega t$ is applied across a circuit and as a result, a current $I=I_0\sin \left(\omega t+\frac{\pi }{2} \right)$ flows in it. The power consumed per cycle is

A transformer operates at ${\mathrm{V}}_{\mathrm{p}}=6\mathrm{kV}$ on the primary side and supplies electric energy at ${\mathrm{V}}_{\mathrm{S}}=220\mathrm{V}$ to a number of houses in a town. If the total power consumption of the town is $7.2\mathrm{kW}$, the current (in amperes) in the primary is